| 一类具有时滞的免疫系统的分支解 |
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| 引用本文： | 刘三红. 一类具有时滞的免疫系统的分支解[J]. 咸宁学院学报, 2007, 27(3): 18-20 |
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| 作者姓名： | 刘三红 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437100 |
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| 基金项目： | 咸宁学院校级重点基金（KL0526） |
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| 摘 要： | 讨论了带有时滞的免疫系统Marchuk模型的分支解的性态．以时滞τ为参数，利用中心流形定理和规范形理论，得到了Hopf分支周期解的稳定性及分支方向的计算公式，为数值模拟提供了依据．
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| 关 键 词： | Marchuk模型 Hopf分支 中心流形 超(次)临界分支 |
| 文章编号： | 1006-5342（2007）03-0018-03 |
| 修稿时间： | 2007-04-23 |
The Solutions of Hopf Bifurcation in a Class of Immune System with Delay |
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| LIU San-hong. The Solutions of Hopf Bifurcation in a Class of Immune System with Delay[J]. Journal of Xianning College, 2007, 27(3): 18-20 |
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| Authors: | LIU San-hong |
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| Affiliation: | Department of Mathematics, Xianning College, Xianning 437100, China |
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| Abstract: | We study the properties of the solution in Marchuk's model of immune system.In much detail,using time lag as a parameter and using the center manifold theorem and normal form theory,we obtain two calculation formulas which reflect the stability with Hopf bifurcating periodic solution and bifurcating direction.Thus it provide a basis for numerical simulation calculation.we simulate the result |
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| Keywords: | Marchuk model Hopf bifurcation Center manifold Supercritical bifurcation |
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